Complete characterization of the directly implementable quantum gates used in the IBM quantum processors

Shukla, Abhishek; Sisodia, Mitali; Pathak, Anirban

doi:10.1016/j.physleta.2020.126387

“…As the real transformations are probably not ideal the values of 1 − F contain both reconstruction errors and gates implementation errors. The results for standard protocol are in a close agreement with the results obtained in the work, 31 where the reconstruction was performed by linear inversion.…”

Section: Experiment: Ibm Qsupporting

confidence: 88%

High-fidelity quantum tomography with imperfect measurements

Bantysh

¹

,

Fastovets

²

,

Bogdanov

³

2019

International Conference on Micro- And Nano-Electronics 2018

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In the current work we address the problem of quantum process tomography (QPT) in the case of imperfect preparation and measurement of the states which are used for QPT. The fuzzy measurements approach which helps us to efficiently take these imperfections into account is considered. However, to implement such a procedure one should have a detailed information about the errors. An approach for obtaining the partial information about them is proposed. It is based on the tomography of the ideal identity gate. This gate could be implemented by performing the measurement right after the initial state preparation. By using the result of the identity gate tomography we were able to significantly improve further QPT procedures. The proposed approach has been tested experimentally on the IBM superconducting quantum processor. As a result, we have obtained an increase in fidelity from 89% to 98% for Hadamard transformation and from 77% to 95% for CNOT gate.

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“…The IBM quantum processor is based on superconducting qubits and is freely available through the cloud 34 – 36 , and has been used to demonstrate various quantum protocols 37 , 38 . More details about the architecture of the IBM QX2 processor and the topology of superconducting qubits are given in 39 and information about the form of the Hamiltonian and important relaxation parameters can be found in 40 , 41 . We use the five-qubit IBM QX2 processor to demonstrate the MSQPT protocol described in the previous section.…”

Section: Resultsmentioning

confidence: 99%

Implementing efficient selective quantum process tomography of superconducting quantum gates on IBM quantum experience

Gaikwad

¹

,

Shende

²

,

Arvind

³

et al. 2022

Sci Rep

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The experimental implementation of selective quantum process tomography (SQPT) involves computing individual elements of the process matrix with the help of a special set of states called quantum 2-design states. However, the number of experimental settings required to prepare input states from quantum 2-design states to selectively and precisely compute a desired element of the process matrix is still high, and hence constructing the corresponding unitary operations in the lab is a daunting task. In order to reduce the experimental complexity, we mathematically reformulated the standard SQPT problem, which we term the modified SQPT (MSQPT) method. We designed the generalized quantum circuit to prepare the required set of input states and formulated an efficient measurement strategy aimed at minimizing the experimental cost of SQPT. We experimentally demonstrated the MSQPT protocol on the IBM QX2 cloud quantum processor and selectively characterized various two- and three-qubit quantum gates.

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“…The IBM quantum processor is based on superconducting qubits and is freely available through the cloud [34][35][36], and has been used to demonstrate various quantum protocols [37,38]. More details about the architecture of the IBM QX2 processor and the topology of superconducting qubits are given in [39] and information about the form of the Hamiltonian and important relaxation parameters can be found in [40,41]. We use the fivequbit IBM QX2 processor to demonstrate the MSQPT protocol described in the previous section.…”

Section: Experimental Implementation Of Msqpt On the Ibm Qx2 Processormentioning

confidence: 99%

Implementing efficient selective quantum process tomography of superconducting quantum gates on the IBM quantum processor

Gaikwad,

Shende,

Dorai

2021

Preprint

0

View full text Add to dashboard Cite

The experimental implementation of selective quantum process tomography (SQPT) involves computing individual elements of the process matrix with the help of a special set of states called quantum 2-design states. However, the number of experimental settings required to prepare input states from quantum 2-design states to selectively and precisely compute a desired element of the process matrix is still high, and hence constructing the corresponding unitary operations in the lab is a daunting task. In order to reduce the experimental complexity, we mathematically reformulated the standard SQPT problem, which we term the modified SQPT (MSQPT) method. We designed the generalized quantum circuit to prepare the required set of input states and formulated an efficient measurement strategy aimed at minimizing the experimental cost of SQPT. We experimentally demonstrated the MSQPT protocol on the IBM QX2 cloud quantum processor and selectively characterized various two-and three-qubit quantum gates.

show abstract

Complete characterization of the directly implementable quantum gates used in the IBM quantum processors

Cited by 14 publications

References 43 publications

High-fidelity quantum tomography with imperfect measurements

High-fidelity quantum tomography with imperfect measurements

Implementing efficient selective quantum process tomography of superconducting quantum gates on IBM quantum experience

Implementing efficient selective quantum process tomography of superconducting quantum gates on the IBM quantum processor

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